Scientists have discovered that the Chinese money plant hides a remarkable geometric system inside its leaves, revealing that nature may solve complex problems using mathematical rules similar to those found in computer science and city planning.
People often see meaningful shapes and patterns in random things. Maybe you have looked at clouds and spotted a sailboat, a seahorse, or even your great-aunt Rosemary. Scientists call this tendency “apophenia,” the human habit of finding patterns that are not really there. But in some cases, nature truly does follow hidden mathematical rules. Cold Spring Harbor Laboratory Associate Professor Saket Navlakha studies these kinds of patterns and recently uncovered one inside a familiar houseplant.
Hidden Geometry in Chinese Money Plants
The pattern at the center of the discovery is called a Voronoi diagram. This type of geometry divides space into regions built around central points. One everyday example would be school districts. Each district (region) is organized so students are always closest to their assigned school (central point).
“Voronoi diagrams have been used for centuries in a variety of applications ranging from city planning to network design,” Navlakha says.
Scientists have previously observed Voronoi-like arrangements in nature, including the markings seen on giraffes. However, natural examples usually only resemble the geometric pattern because they often lack clearly defined central points. Navlakha and former graduate student Cici Zheng discovered a rare exception in Pilea peperomioides, commonly known as the Chinese money plant.
Scientists Map Leaf Veins and Pores
Chinese money plants are perennial plants native to China’s Yunnan and Sichuan provinces. They are also widely grown as decorative houseplants and are commonly given as gifts. Their circular leaves contain visible pores called hydathodes. Surrounding these pores are looping reticulate veins that move water and nutrients throughout the leaf.
By carefully studying the arrangement of the pores and veins, Navlakha and Zheng identified a naturally occurring Voronoi pattern within the leaves.
The researchers then collaborated with Przemysław Prusinkiewicz, an internationally known scientist who has spent decades studying how plant veins form. Together, they identified the “natural algorithm” responsible for producing the looping vein structures surrounding the pores in Chinese money plant leaves.
“Just as humans have to solve problems to survive, the same goes for other organisms,” says Zheng, now a postdoc at the Allen Institute. “But unlike humans, plants cannot explicitly measure distances! Instead, they rely on local biological interactions to achieve the same Voronoi solution.”
Nature’s Mathematical Algorithms
The findings highlight how living organisms can create highly organized systems using simple local interactions rather than conscious calculations.
“We think of these algorithms in nature as an explanation for how organisms will behave and as a way to try to make sense of the world,” Navlakha says. “This example is a nice merger of classical geometry, modern plant biology, and computer science.”
Prusinkiewicz says the research may finally answer a scientific question that has remained unresolved for decades.
“It’s remarkable how mathematical yet another aspect of plant form and patterning turns out to be,” Prusinkiewicz adds. “For decades, the question of how reticulate veins form has remained open, and finally we have a plausible answer” in Chinese money plants’ Voronoi patterns.
Navlakha and Zheng hope future research into these natural geometric systems will provide deeper insight into how plants handle complex challenges in nature. They believe this work could eventually help scientists better understand the mathematical principles connected to evolution, biological development, and life itself.
Reference: “Reticulate leaf venation in Pilea peperomioides is a Voronoi diagram” by CiCi Xingyu Zheng, Shirsa Palit, Matthew Venezia, Elijah Blum, Ullas V. Pedmale, Dave Jackson, Enrico Scarpella, Przemyslaw Prusinkiewicz and Saket Navlakha, 12 May 2026, Nature Communications.
DOI: 10.1038/s41467-026-71768-3
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